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Finding the Fourth Proportional to 392,862, 542,149.56 and 214,014

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Solution

The fourth proportional to 392,862, 542,149.56 and 214,014 is: 295,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,862 : 542,149.56 = 214,014 : x
  2. Step 2: Convert to fraction form
    392,862/542,149.56 = 214,014/x
  3. Step 3: Cross multiply
    392,862x = 542,149.56 × 214,014
  4. Step 4: Simplify right side
    392,862x = 116,027,595,933.84
  5. Step 5: Solve for x
    x = 116,027,595,933.84/392,862
  6. Step 6: Final answer
    x = 295,339.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.